Making an analogy between a multi chain interaction in charge density wave transport and the use of wavefunctionals to form soliton- anti soliton pairs

TL;DR

This paper explores the analogy between multi-chain interactions in charge density wave transport and wavefunctional-based soliton-antisoliton pair formation, proposing a model that overcomes limitations of the massive Schwinger model.

Contribution

It introduces a coupled-chain Hamiltonian model that enables soliton-antisoliton pair transport in CDWs, linking it to the false vacuum hypothesis and wavefunctional concepts.

Findings

The massive Schwinger model is insufficient for soliton pair transport.

A coupled Hamiltonian with Peierls energy allows soliton-antisoliton formation.

Analogies with the false vacuum hypothesis are established.

Abstract

A numerical simulation shows that a massive Schwinger model used to formulate solutions to charge density wave (CDW) transport is insufficient for transport of soliton- anti soliton pairs through a pinning gap model of CDW transport. However, a model Hamiltonian with Peierls condensation energy used to couple adjacent chains (or transverse wave vectors) permits formation of soliton - anti soliton pairs that could be used to transport CDW through a potential barrier. There are analogies between this construction and the false vacuum hypothesis used for showing a necessary and sufficient condition for wave functionals for formation of soliton - anti soliton pairs. This can be established by either use of the Bogomol'nyi inequality or through an experimental artifact resulting through use of the false vacuum hypothesis to obtain a proportional distance between the soliton - anti soliton pair charge centers